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Finding the Fourth Proportional to 640.77, 960.23 and 348.03

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Solution

The fourth proportional to 640.77, 960.23 and 348.03 is: 521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.77 : 960.23 = 348.03 : x
  2. Step 2: Convert to fraction form
    640.77/960.23 = 348.03/x
  3. Step 3: Cross multiply
    640.77x = 960.23 × 348.03
  4. Step 4: Simplify right side
    640.77x = 334,184.05
  5. Step 5: Solve for x
    x = 334,184.05/640.77
  6. Step 6: Final answer
    x = 521.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.